Active escape dynamics: the effect of persistence on barrier crossing

Abstract

We study a system of non-interacting active particles, propelled by colored noises, characterized by an activity time $\tau$, and confined by a double-well potential. A straightforward application of this system is the problem of barrier crossing of active particles, which has been studied only in the limit of small activity. When $\tau$ is sufficiently large, equilibrium-like approximations break down in the barrier crossing region. In the model under investigation, it emerges a sort of "negative temperature" region, and numerical simulations confirm the presence of non-convex local velocity distributions. We propose, in the limit of large $\tau$, approximate equations for the typical trajectories which successfully predict many aspects of the numerical results. The local breakdown of detailed balance and its relation with a recent definition of non-equilibrium heat exchange is also discussed.

arXiv comment5 figures

References in corpus (21)

• Active Particles in Complex and Crowded Environments
• The Mechanics and Statistics of Active Matter
• Motility-Induced Phase Separation
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• How far from equilibrium is active matter?
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• A self-propelled particle in an external potential: is there an effective temperature?
• Effective Interactions in Active Brownian Suspensions
• The statistical physics of active matter: from self-catalytic colloids to living cells
• Multidimensional Stationary Probability Distribution for Interacting Active Particles
• Temperature in and out of equilibrium: a review of concepts, tools and attempts
• Brownian motion exhibiting absolute negative mobility
• Towards a statistical mechanical theory of active fluids
• Heat, temperature and Clausius inequality in a model for active brownian particles
• Escape rate of active particles in the effective equilibrium approach
• Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and unified colored noise approximations
• Clausius relation for active particles: what can we learn from fluctuations?
• Consistent description of fluctuations requires negative temperatures
• Comment on "Entropy Production and Fluctuation Theorems for Active Matter"
• Effective potential method for active particles
• Langevin equation in systems with also negative temperatures

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• The Parental Active Model: a unifying stochastic description of self-propulsion
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• Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
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• Inhomogeneous entropy production in active crystals with point imperfections
• Tailoring the escape rate of a Brownian particle by combining a vortex flow with a magnetic field
• Fluctuation Theorems for Heat exchanges between passive and active baths
• Speeding up Brownian escape via intermediate finite potential barriers
• Correlated escape of active particles across a potential barrier
• Two-Dimensional Active Brownian Particles Crossing a Parabolic Barrier: Finite Rectangular Domain with Absorbing Boundary Conditions
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• Arrhenius-Type Description and Noise-Composition Dependence of Single-Vacancy Hopping in Active Brownian Crystals
• Curvature-Driven Density and Fluctuations in Interacting AOUPs under Confinement